This article is cited in 20 papers

Separability in Riemannian Manifolds

Sergio Benenti

Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy

Abstract: An outline of the basic Riemannian structures underlying the separation of variables in the Hamilton–Jacobi equation of natural Hamiltonian systems.

Keywords: Riemannian geometry; Hamilton–Jacobi equation; separation of variables.

MSC: 70H20; 35F21; 58B21

Received: December 27, 2015; in final form January 19, 2016; Published online February 1, 2016

Language: English

DOI: 10.3842/SIGMA.2016.013

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ArXiv: 1512.07833